Local Calabi-Yau 3-folds for some rank 2 shrinkable surfaces
Abstract
Motivated by 5d rank 2 SCFTs, we construct a smooth, non-compact Calabi-Yau 3-fold X containing a rank 2 shrinkable surface S=S1 S2 glued over a smooth curve. This construction will be a generalization of the construction of a local surface for a smooth surface S
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